分圆域q(ζ_(40))的幂元整基
, PP. 28-32
Keywords: 幂元整基,分圆域,生成元,单位
Abstract:
讨论了分圆域q(ζ40)的幂元整基问题.证明了对于任何代数整数α∈z[ζ40],当α+α?z时,z[α]=z[ζ40]当且仅当α与ζ40等价.
References
[1] | bremnera.onpowerbasesincyclotomicnumberfields[j].jnumbertheory,1988,28:288-298.
|
[2] | robertsonl.powerbasesforcyclotomicintegerrings[j].jnumbertheory,1998,69:98-118.
|
[3] | 冯克勤.代数数论[m].北京:科学出版社,2001.[5]washingtonlj.introductiontocyclotomicfields[j].2nded.newyork:springer-verlag,1997.
|
[4] | robertsonl.powerbasesfor2-powercyclotomicfields[j].jnumbertheory,2001,88:196-209.
|
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